1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Nature of Roots
x 2+8 x+16=0
Question
x
2
+
8
x
+
16
=
0
Open in App
Solution
Given:
x
2
+
8
x
+
16
=
0
Here,
a
=
1
,
b
=
8
and
c
=
16
Discriminant
D
is
given
by
:
D
=
(
b
2
−
4
a
c
)
=
(
8
)
2
−
4
×
1
×
16
= 64
−
64
= 0
Thus
,
the
roots of the equation are equal.
Suggest Corrections
1
Similar questions
Q.
Solve :-
x
2
+
8
x
+
16
=
0
Q.
Solve :
x
2
−
8
x
+
16
=
0
Q.
Write
x
2
+8x+16 =0 in the form
x
2
+px+qx+16 =0 such that p x q = 16
Q.
The equation of the parabola with focus (0, 0) and directrix x + y = 4 is
(a) x
2
+ y
2
− 2xy + 8x + 8y − 16 = 0
(b) x
2
+ y
2
− 2xy + 8x + 8y = 0
(c) x
2
+ y
2
+ 8x + 8y − 16 = 0
(d) x
2
− y
2
+ 8x + 8y − 16 = 0